diff --git a/augmentedtree/atree.go b/augmentedtree/atree.go
index eaa66aa..d90e3ea 100644
--- a/augmentedtree/atree.go
+++ b/augmentedtree/atree.go
@@ -116,21 +116,21 @@ type tree struct {
 	dummy                node
 }
 
-func (t *tree) Traverse(fn func(id Interval)) {
-	nodes := []*node{t.root}
-
-	for len(nodes) != 0 {
-		c := nodes[len(nodes)-1]
-		nodes = nodes[:len(nodes)-1]
+func (t *tree) Traverse(fn func(id Interval) IterationResult) {
+	c := t.root
+	nodes := []*node{}
+	for len(nodes) > 0 || c != nil {
 		if c != nil {
-			fn(c.interval)
-			if c.children[0] != nil {
-				nodes = append(nodes, c.children[0])
-			}
-			if c.children[1] != nil {
-				nodes = append(nodes, c.children[1])
-			}
+			nodes = append(nodes, c)
+			c = c.children[0]
+			continue
+		}
+		c = nodes[len(nodes)-1]
+		nodes = nodes[:len(nodes)-1]
+		if !fn(c.interval) {
+			break
 		}
+		c = c.children[1]
 	}
 }
 
diff --git a/augmentedtree/atree_test.go b/augmentedtree/atree_test.go
index 7c96e67..b172a7c 100644
--- a/augmentedtree/atree_test.go
+++ b/augmentedtree/atree_test.go
@@ -626,8 +626,9 @@ func TestInsertDuplicateIntervalChildren(t *testing.T) {
 func TestTraverse(t *testing.T) {
 	tree := newTree(1)
 
-	tree.Traverse(func(i Interval) {
+	tree.Traverse(func(i Interval) IterationResult {
 		assert.Fail(t, `traverse should not be called for empty tree`)
+		return IterationBreak
 	})
 
 	top := 30
@@ -635,8 +636,9 @@ func TestTraverse(t *testing.T) {
 		tree.Add(constructSingleDimensionInterval(int64(i*10), int64((i+1)*10), uint64(i)))
 	}
 	found := map[uint64]bool{}
-	tree.Traverse(func(id Interval) {
+	tree.Traverse(func(id Interval) IterationResult {
 		found[id.ID()] = true
+		return IterationContinue
 	})
 	for i := 0; i <= top; i++ {
 		if found, _ := found[uint64(i)]; !found {
diff --git a/augmentedtree/interface.go b/augmentedtree/interface.go
index 3cd4a37..8e381c3 100644
--- a/augmentedtree/interface.go
+++ b/augmentedtree/interface.go
@@ -54,6 +54,13 @@ type Interval interface {
 	ID() uint64
 }
 
+type IterationResult bool
+
+const (
+	IterationContinue IterationResult = true
+	IterationBreak    IterationResult = false
+)
+
 // Tree defines the object that is returned from the
 // tree constructor.  We use a Tree interface here because
 // the returned tree could be a single dimension or many
@@ -71,5 +78,5 @@ type Tree interface {
 	Query(interval Interval) Intervals
 	// Traverse will traverse tree and give alls intervals
 	// found in an undefined order
-	Traverse(func(Interval))
+	Traverse(func(Interval) IterationResult)
 }